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Finding the Fourth Proportional to 32,302.46, 48,435.03 and 12,557.93

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Solution

The fourth proportional to 32,302.46, 48,435.03 and 12,557.93 is: 18,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,302.46 : 48,435.03 = 12,557.93 : x
  2. Step 2: Convert to fraction form
    32,302.46/48,435.03 = 12,557.93/x
  3. Step 3: Cross multiply
    32,302.46x = 48,435.03 × 12,557.93
  4. Step 4: Simplify right side
    32,302.46x = 608,243,474.11
  5. Step 5: Solve for x
    x = 608,243,474.11/32,302.46
  6. Step 6: Final answer
    x = 18,829.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.